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Finding the Third Proportional to 38,975.50 and 60,745

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Solution

The third proportional to 38,975.50 and 60,745 is: 94,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,975.50 : 60,745 = 60,745 : x
  2. Step 2: Convert to fraction form
    38,975.50/60,745 = 60,745/x
  3. Step 3: Cross multiply
    38,975.50x = 60,745 × 60,745
  4. Step 4: Simplify right side
    38,975.50x = 3,689,955,025
  5. Step 5: Solve for x
    x = 3,689,955,025/38,975.50
  6. Step 6: Final answer
    x = 94,673.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.